Calculus I

Tuesday, December 2, 2008
Objective: The student will be able to:
Apply the chain rule and implicit differentiation
Apply the derivatives to problems

Agenda:
I. Implicit differentiation practice
II. Homework review
III. More practice

Homework: page 155-157 (21 through 37) odds
The chain rule:


Ex: =

Let u = so y=

The outside in rule:

Implicit differentiation:
1. Use this when you can not isolate the dependent variable.

2. Differentiate according to all rules. The only difference is the use of the chain rule when differentiating the dependent variable.

3. Isolate on one side of the equation and solve for in terms of x and y.
Ex: